Every day the same things came up; the work was never done, and the tedium of it began to weigh on me. Part of what made English a difficult subject for Korean students was the lack of a more active principle in their learning. They were accustomed to receiving, recording, and memorizing. That's the Confucian mode. As a student, you're not supposed to question a teacher; you should avoid asking for explanations because that might reveal a lack of knowledge, which can be seen as an insult to the teacher's efforts. You don't have an open, free exchange with teachers as we often have here in the West. And further, under this design, a student doesn't do much in the way of improvisation or interpretation.This approach might work well for some pursuits, may even be preferred--indeed, I was often amazed by the way Koreans learned crafts and skills, everything from basketball to calligraphy, for example, by methodically studying and reproducing a defined set of steps (a BBC report explained how the North Korean leader Kim Jong Il had his minions rigorously study the pizza-making techniques used by Italian chefs so that he could get a good pie at home, even as thousands of his subjects starved)--but foreign-language learning, the actual speaking component most of all, has to be more spontaneous and less rigid.We all saw this played out before our eyes and quickly discerned the problem. A student cannot hope to sit in a class and have a language handed over to him on sheets of paper.

~ Cullen Thomas

A Puritan twist in our nature makes us think that anything good for us must be twice as good if it's hard to swallow. Learning Greek and Latin used to play the role of character builder, since they were considered to be as exhausting and unrewarding as digging a trench in the morning and filling it up in the afternoon. It was what made a man, or a woman -- or more likely a robot -- of you. Now math serves that purpose in many schools: your task is to try to follow rules that make sense, perhaps, to some higher beings; and in the end to accept your failure with humbled pride. As you limp off with your aching mind and bruised soul, you know that nothing in later life will ever be as difficult.What a perverse fate for one of our kind's greatest triumphs! Think how absurd it would be were music treated this way (for math and music are both excursions into sensuous structure): suffer through playing your scales, and when you're an adult you'll never have to listen to music again. And this is mathematics we're talking about, the language in which, Galileo said, the Book of the World is written. This is mathematics, which reaches down into our deepest intuitions and outward toward the nature of the universe -- mathematics, which explains the atoms as well as the stars in their courses, and lets us see into the ways that rivers and arteries branch. For mathematics itself is the study of connections: how things ideally must and, in fact, do sort together -- beyond, around, and within us. It doesn't just help us to balance our checkbooks; it leads us to see the balances hidden in the tumble of events, and the shapes of those quiet symmetries behind the random clatter of things. At the same time, we come to savor it, like music, wholly for itself. Applied or pure, mathematics gives whoever enjoys it a matchless self-confidence, along with a sense of partaking in truths that follow neither from persuasion nor faith but stand foursquare on their own. This is why it appeals to what we will come back to again and again: our **architectural instinct** -- as deep in us as any of our urges.

~ Ellen Kaplan